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Integral with 'e'

  1. Feb 26, 2008 #1
    I'm in the middle of a LONG problem and came across a part where I need to do this integral:

    integral of: e^[(cos(t)-t)/5]

    Please help!
     
  2. jcsd
  3. Feb 26, 2008 #2
    I'm pretty sure you need to solve this numerically. Is that acceptable for the problem?
     
  4. Feb 26, 2008 #3

    olgranpappy

    User Avatar
    Homework Helper

    It's very amusing to consider instead the function
    [tex]
    e^{-t/5}
    [/tex]
    It looks almost just like your function but with a few less little "fine structure" wiggles.

    The integrals of both functions should be rather similar. For example
    [tex]
    \int_0^{\infty} e^{(-t/5)}=5
    [/tex]
    whereas
    [tex]
    \int_0^{\infty}e^{(Cos[t]-t)/5}\approx 5.09
    [/tex]
     
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